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Finding the Fourth Proportional to 1,216.88, 1,677.48 and 954.44

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Solution

The fourth proportional to 1,216.88, 1,677.48 and 954.44 is: 1,315.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.88 : 1,677.48 = 954.44 : x
  2. Step 2: Convert to fraction form
    1,216.88/1,677.48 = 954.44/x
  3. Step 3: Cross multiply
    1,216.88x = 1,677.48 × 954.44
  4. Step 4: Simplify right side
    1,216.88x = 1,601,054.01
  5. Step 5: Solve for x
    x = 1,601,054.01/1,216.88
  6. Step 6: Final answer
    x = 1,315.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.